1-loop Corrections to the \rho Parameter in the Left-Right Twin Higgs Model

TL;DR

This paper performs a detailed one-loop analysis of the $ ho$ parameter in the Left-Right Twin Higgs model, revealing dominant quantum corrections that constrain the model's parameter space for collider tests.

Contribution

It provides the first comprehensive one-loop calculation of the $ ho$ parameter in this model, including fermion and scalar loop effects, refining previous tree-level estimates.

Findings

One-loop corrections dominate over tree-level in most parameter regions.

Allowed $ ho$-parameter values restrict the symmetry breaking scale to specific ranges.

Numerical results narrow down the parameter space accessible to the LHC.

Abstract

We implement a one-loop analysis of the $\rho$ parameter in the Left Right Twin Higgs model, including the logarithmically enhanced contributions from both fermion and scalar loops. Numerical results show that the one-loop contributions are dominant over the tree level corrections in most regions of parameter space. The experimentally allowed values of $\rho$-parameter divide the allowed parameter space into two regions; less than $670 {\rm GeV}$ and larger than $1100 {\rm GeV}$ roughly, for symmetry breaking scale $f$. Our numerical analysis significantly reduces the parameter space which are favorably accessible to the LHC.